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Finding the Fourth Proportional to 22,774.48, 31,428.70 and 12,702.92

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Solution

The fourth proportional to 22,774.48, 31,428.70 and 12,702.92 is: 17,529.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774.48 : 31,428.70 = 12,702.92 : x
  2. Step 2: Convert to fraction form
    22,774.48/31,428.70 = 12,702.92/x
  3. Step 3: Cross multiply
    22,774.48x = 31,428.70 × 12,702.92
  4. Step 4: Simplify right side
    22,774.48x = 399,236,184.32
  5. Step 5: Solve for x
    x = 399,236,184.32/22,774.48
  6. Step 6: Final answer
    x = 17,529.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.